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131944750564 = 22114192792
BaseRepresentation
bin111101011100010000…
…1010001110111100100
3110121120110022210212111
41322320201101313210
54130210324004224
6140340425530404
712350466606034
oct1727041216744
9417513283774
10131944750564
1150a59410000
12216a4043a04
13c599a76303
1465598a18c4
153673960d94
hex1eb8851de4

131944750564 has 135 divisors (see below), whose sum is σ = 271499813235. Its totient is φ = 56099094480.

The previous prime is 131944750541. The next prime is 131944750571. The reversal of 131944750564 is 465057449131.

The square root of 131944750564 is 363242.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1670186677 + ... + 1670186755.

Almost surely, 2131944750564 is an apocalyptic number.

131944750564 is the 363242-nd square number.

It is an amenable number.

131944750564 is an abundant number, since it is smaller than the sum of its proper divisors (139555062671).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131944750564 is an frugal number, since it uses more digits than its factorization.

131944750564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 131944750564 by its sum of digits (49), we get a square (6465292777636 = 25426942).

The spelling of 131944750564 in words is "one hundred thirty-one billion, nine hundred forty-four million, seven hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 44 76 79 121 158 209 242 316 361 418 484 722 836 869 1331 1444 1501 1738 2299 2662 3002 3476 3971 4598 5324 6004 6241 7942 9196 9559 12482 14641 15884 16511 19118 24964 25289 28519 29282 33022 38236 43681 50578 57038 58564 66044 68651 87362 101156 105149 114076 118579 137302 174724 181621 210298 237158 274604 278179 313709 363242 420596 474316 480491 556358 627418 726484 755161 960982 1112716 1156639 1254836 1304369 1510322 1921964 1997831 2253001 2313278 2608738 3020644 3450799 3995662 4506002 4626556 5217476 5285401 6901598 7991324 8306771 9012004 10570802 13803196 14348059 16613542 21141604 21976141 24783011 28696118 33227084 37958789 43952282 49566022 57392236 75917578 87904564 91374481 99132044 151835156 157828649 182748962 272613121 315657298 365497924 417546679 545226242 631314596 835093358 1090452484 1670186716 1736115139 2998744331 3472230278 5997488662 6944460556 11994977324 32986187641 65972375282 131944750564